#### DOCUMENTA MATHEMATICA,
Vol. Extra Volume: Optimization Stories (2012), 169-180

** Alexander Schrijver **
On the History of the Transportation
and Maximum Flow Problems

We review two papers that are of historical interest for combinatorial
optimization: an article of A.N. Tolsto\u{\i} from 1930, in which the transportation
problem is studied, and a negative cycle criterion is developed and applied
to solve a (for that time) large-scale ($10\times 68$) transportation problem
to optimality; and an, until recently secret, RAND report of T.E. Harris
and F.S. Ross from 1955, that Ford and Fulkerson mention as motivation
to study the maximum flow problem. The papers have in common that they
both apply their methods to the Soviet railway network.

2010 Mathematics Subject Classification: 01A60, 05-03, 05C21, 05C85, 90C27

Keywords and Phrases: Maximum flow, minimum cut, transportation, algorithm, cycle cancelling,
history

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